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A theory of inclusions in viscoelastic materials
Author(s) -
Radok J. R. M.,
Tai Clement L.
Publication year - 1962
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1962.070062305
Subject(s) - viscoelasticity , materials science , relaxation (psychology) , homogeneous , material properties , composite material , mechanics , physics , thermodynamics , psychology , social psychology
Two important groups of viscoelastic materials may, in practical applications, be characterized by the presence of inclusions. In high polymers, the control of the production of homogeneous batches presents often unsurmountable difficulties and hence unintended regions of nonhomogeneity will result. In concrete structures, reinforcements are often introduced to ensure strength in tension, and these inclusions, while intentional, are bound to change the behavior of the bulk material. This investigation of the effects of circular cylindrical and spherical inclusions in infinite two‐ and three‐dimensional bodies, subject to uniaxial loading at infinity, has been based on linear viscoelastic theory. It has been assumed that the inclusions are either rigid, perfectly elastic or viscoelastic and that their boundaries are free or welded to the surrounding material. In all these cases, the behavior of the viscoelastic material surrounding the inclusions will differ essentially from that of the material without inclusions. For example, it may be shown that a single parameter material will exhibit several retardation or relaxation times. In view of this situation, the interpretation of experimental test results on viscoelastic materials as well as the practical usefulness of linear viscoelastic theory appear in a new light which is discussed on the basis of the available information.